For the answer to the question above, For θ the range is between -infinity and infinity,
<span>While y falls in the range from -1 to 1.
because </span><span>y is an element of [-1, 1]</span>
I hope my answer helped you in your problem. Have a nice day!
310=62% of x
let x b the total number of pages
x=500 so total number of pages are 500.
and rest has no picture=500-310=190
Answer: The system of equations have many solutions and the correct options are A,B and D.
Explanation:
The given equations are,
..... (1)
.... (2)
Simplify the second equation.
Divide both sides by 3.
It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.
Test the points whether the point lies on the line or not.
Check for point A(6,-7).
LHS and RHS are equal, therefore the point A is the solution of the system of equations.
Check for point B(2,1).
LHS and RHS are equal, therefore the point B is the solution of the system of equations.
Check for point C(-2,-9).
LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.
Check for point D(-4,13).
LHS and RHS are equal, therefore the point D is the solution of the system of equations.
Therefore the options A,B and D are correct.
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
Answer:
2 5/8 miles or 2.625 miles
Step-by-step explanation:
We are told in the question that
Linda walked 3/4 of the length of the Tremont Trail before stopping for a rest.
From the question, the length of the Tremont Trail = 3 1/2 miles
Hence, the distance (how far )Linda has walked =
3/4 of 3 1/2 miles
= 3/4 × 3 1/2 miles
= 3/4 × 7/2 miles
= 21/8 miles
= 2 5/8 miles or 2.625 miles
Therefore, Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail
